2
You visited us
2
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Proof by mathematical induction
If 27999 is...
Question
If
(
27
)
999
is divided by 7, then the remainder is :
Open in App
Solution
(
27
)
999
=
(
28
−
1
)
999
=
999
C
0
(
28
)
999
−
999
C
1
(
28
)
998
…
.
+
999
C
998
(
28
)
−
999
C
999
=
28
[
999
C
0
(
28
)
998
−
999
C
1
(
28
)
997
…
…
+
999
C
998
]
−
999
C
999
(
27
)
999
=
28
[
999
C
0
(
28
)
998
−
999
C
1
(
28
)
997
…
…
.
+
999
C
998
]
7
−
1
7
So remainder is remainder of
−
1
7
which is
6
(because
−
1
=
7
(
−
1
)
+
6
)
(remainder is always positive so we will not consider
−
1
).
Suggest Corrections
0
Similar questions
Q.
If
32
32
32
is divided by 7 , then the remainder is
Q.
If
7
103
is divided by 25 then the remainder is
___
Q.
If
7
103
is divided by
25
, then the remainder is
Q.
Find Remainder :
(
27
)
999
7
Q.
If
1690
2608
+
2608
1690
is divided by
7
, then the remainder is
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Mathematical Induction
MATHEMATICS
Watch in App
Explore more
Proof by mathematical induction
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app